32. Theories of Failure (Contd.)
The discussion focuses on the theories of failure in solid mechanics, emphasizing stress analysis in structures under applied loads. Key topics include the design of a lever and the stresses experienced in its cross-section, the concept of thermoelasticity, and the behavior of materials under loading, leading to plastic deformation or failure. Practical applications are highlighted to illustrate the complexity involved in real-world scenarios.
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What we have learnt
- The importance of stress analysis in designing mechanical components to prevent failure.
- Thermoelasticity influences stress-strain relationships when temperature changes are considered.
- Different materials exhibit unique stress-strain behaviors that determine their susceptibility to strain and failure.
Key Concepts
- -- Theory of Failure
- A framework to determine the limits beyond which materials fail under stress, often involving calculations of stress and strain.
- -- Thermoelasticity
- The interaction between temperature changes and mechanical stress within materials.
- -- Plastic Behavior
- The response of materials to stress that results in permanent deformation even after the load is removed.
- -- Shear Stress
- The component of stress that acts parallel to the surface of a material.
- -- Bending Stress
- The applied stress in a beam due to moments that cause bending.
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